Who Asked Us? How the Theory of Computing Answers Questions about Analysis

Jack H. Lutz; Neil Lutz

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arXiv · 1912.00284

Who Asked Us? How the Theory of Computing Answers Questions about Analysis

Jack H. Lutz·Neil Lutz

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Abstract

Algorithmic fractal dimensions -- constructs of computability theory -- have recently been used to answer open questions in classical geometric measure theory, questions of mathematical analysis whose statements do not involve computability theory or logic. We survey these developments and the prospects for future such results.

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Jack H. Lutz, Neil Lutz. 2019-11-30. Who Asked Us? How the Theory of Computing Answers Questions about Analysis. https://arxiv.org/abs/1912.00284

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